Stable torsion radicals over FBN rings

DOI10.1016/0022-4049(82)90041-XzbMath0489.16019OpenAlexW2001602577MaRDI QIDQ1166598

John A. Beachy

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90041-x

zbMATH Keywords

torsion radicalsessential extensionsideal invarianceleft fully bounded left Noetherian rings-torsion modules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (16)

Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition ⋮ Relatively Noetherian rings, localization and sheaves. II: Structure sheaves ⋮ Extensions and localization ⋮ Functoriality and extensions ⋮ Module extensions and the second layer condition ⋮ The Local gabriel correspondence ⋮ On the exactness of products in the localization of (Ab.\(4^{\ast}\)) Grothendieck categories ⋮ On compatibility ⋮ A structure sheaf on noetherian rings ⋮ On the structure sheaf associated to a finite algebra ⋮ EXTENDING TORSION RADICALS ⋮ Two-sided localization in semiprime FBN rings ⋮ Strong stability and sheaves ⋮ A note on compatibility and stability ⋮ Stable torsion radicals over Noetherian rings ⋮ Krull symmetric Noetherian rings and their homogeneous components

Cites Work

• Unnamed Item
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• Right Noetherian rings integral over their centers
• Stable torsion and the spectrum of an FBN ring
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Relative krull dimension and prime ideals in right noetherian rings
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• On Stable Noetherian Rings
• A Decomposition Theorem for Noetherian orders in Artinian Rings
• Localization at a semiprime ideal of a right noetherian ring
• "Anneaux noetheriens a droite entiers sur un sous-anneau de leur centre"
• Finitely annihilated modules and orders in artinian rings
• Des catégories abéliennes
• On Quasi‐Artinian Rings
• Finiteness Conditions for Projective and Injective Modules
• Injective modules and classical localization in Noetherian rings
• Krull dimension

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